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Finding the Third Proportional to 14,919.82 and 31,383.07

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Solution

The third proportional to 14,919.82 and 31,383.07 is: 66,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.82 : 31,383.07 = 31,383.07 : x
  2. Step 2: Convert to fraction form
    14,919.82/31,383.07 = 31,383.07/x
  3. Step 3: Cross multiply
    14,919.82x = 31,383.07 × 31,383.07
  4. Step 4: Simplify right side
    14,919.82x = 984,897,102.24
  5. Step 5: Solve for x
    x = 984,897,102.24/14,919.82
  6. Step 6: Final answer
    x = 66,012.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.